Electronics and Control

An Improved Source Localization Algorithm in Presence of Sensor Location Errors

  • CAO Yalu ,
  • PENG Li
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  • School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China

Received date: 2013-09-21

  Revised date: 2014-01-21

  Online published: 2014-02-19

Abstract

The position and velocity of a moving source can be estimated by utilizing the time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements between moving targets and sensors in the localization of wireless sensor networks. The traditional localization algorithms will lose accurate positioning effect in the presence of sensor location errors. Based on the maximum likelihood (ML) function, a closed-form approximate solution can be obtained. This paper develops an improved approximate maximum likelihood (AML) algorithm by updating the cost function with sensor uncertainty, which can allow real-time implementation as well as global convergence. Simulation results show that the proposed algorithm can attain the Cramer-Rao lower bound (CRLB) in the presence of sensor location errors, and it performs better than the modified two-step weighted least squares (2-step WLS) approach.

Cite this article

CAO Yalu , PENG Li . An Improved Source Localization Algorithm in Presence of Sensor Location Errors[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(7) : 1992 -1998 . DOI: 10.7527/S1000-6893.2013.0528

References

[1] Yick J, Mukherjee B, Ghosal D. Wireless sensor network survey[J]. Computer Networks, 2008, 52(12): 2292-2330.

[2] Mao G, Fidan B, Anderson B D O. Wireless sensor network localization techniques[J]. Computer Networks, 2007, 51(10): 2529-2553.

[3] Sakarindr P, Ansari N. Security services in group communications over wireless infrastructure, mobile ad-hoc, and wireless sensor networks[J]. IEEE Wireless Communications, 2007, 14(5): 8-20.

[4] Nakayama H, Ansari N, Jamalipour A, et al. Fault-resilient sensing in wireless sensor networks[J]. Computer Communications, 2007, 30(11-12): 2375-2384.

[5] Zhang Y, Ansari N, Su W. Optimal decision fusion based automatic modulation classification by using wireless sensor networks in multipath fading channel//IEEE GLOBECOM Proceedings, 2011: 1-5.

[6] Patwari N, Ash J N, Kyperountas S, et al. Locating the nodes: cooperative localization in wirelesss sensor networks[J]. IEEE Signal Processing Magazine, 2005, 22(4): 54-69.

[7] Carter G C. Time delay estimation for passive sonar signal processing[J]. IEEE Transactions on Acoustics, Speech, Signal Processing, 1981, ASSP-29(3): 462-470.

[8] Weinstein E. Optimal source localization and tracking from passive array measurements[J]. IEEE Transactions on Acoustics, Speech, Signal Processing, 1982, ASSP-30(1): 69-76.

[9] Jia X J, Guo F C, Zhou Y Y. Passive localization based on short time TDOA sequence[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(2): 291-298. (in Chinese) 贾兴江, 郭福成, 周一宇. 基于短时时差序列的无源定位方法[J]. 航空学报, 2011, 32(2): 291-298.

[10] Beck A, Stoica P, Li J. Exact and approximate solutions of source localization problems[J]. IEEE Transactions on Signal Processing, 2008, 56(5): 1770-1778.

[11] Guo F C, Fan Y. A method of dual-satellites geolocations using TDOA and FDOA and its presicion analysis[J]. Journal of Astronautics, 2008, 29(4): 1381-1386. (in Chinese) 郭福成, 樊昀. 双星时差频差联台定位方法及其误差分析[J]. 宇航学报, 2008, 29(4): 1381-1386.

[12] Torrieri D J. Statistical theory of passive location systems[M]. New York: Springer, 1990: 151-166.

[13] Ho K C, Xu W. An accurate algebraic solution for moving source location using TDOA and FDOA measurements[J]. IEEE Transactions on Signal Processing, 2004, 52(9): 2453-2463.

[14] Wei H W, Peng R, Wan Q, et al. Multidimensional scaling analysis for passive moving target localization with TDOA and FDOA measurements[J]. IEEE Transactions on Signal Processing, 2010, 58(3): 1677-1688.

[15] Yu H G, Huang G M, Gao J, et al. Approximate maximum likelihood algorithm for moving source localization using TDOA and FDOA measurements[J]. Chinese Journal of Aeronautics, 2012, 25(4): 593-597.

[16] Chan Y T, Hang H Y C, Ching P C. Exact and approximate maximum likelihood localization algorithms[J]. IEEE Transactions on Vehicular Technology, 2006, 55(1): 10-16.

[17] Ho K C, Xu W. Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution[J]. IEEE Transactions on Signal Processing, 2007, 55(2): 684-696.

[18] Lin L X, So H C, Chan F K W, et al. A new constrained weighted least squares algorithm for TDOA-based localization[J]. Signal Processing, 2013, 93(11): 2872-2878.

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